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Simplifying (x + -5)(x + -10) = x(x + 5) Reorder the terms: (-5 + x)(x + -10) = x(x + 5) Reorder the terms: (-5 + x)(-10 + x) = x(x + 5) Multiply (-5 + x) * (-10 + x) (-5(-10 + x) + x(-10 + x)) = x(x + 5) ((-10 * -5 + x * -5) + x(-10 + x)) = x(x + 5) ((50 + -5x) + x(-10 + x)) = x(x + 5) (50 + -5x + (-10 * x + x * x)) = x(x + 5) (50 + -5x + (-10x + x2)) = x(x + 5) Combine like terms: -5x + -10x = -15x (50 + -15x + x2) = x(x + 5) Reorder the terms: 50 + -15x + x2 = x(5 + x) 50 + -15x + x2 = (5 * x + x * x) 50 + -15x + x2 = (5x + x2) Add '-1x2' to each side of the equation. 50 + -15x + x2 + -1x2 = 5x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 50 + -15x + 0 = 5x + x2 + -1x2 50 + -15x = 5x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 50 + -15x = 5x + 0 50 + -15x = 5x Solving 50 + -15x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 50 + -15x + -5x = 5x + -5x Combine like terms: -15x + -5x = -20x 50 + -20x = 5x + -5x Combine like terms: 5x + -5x = 0 50 + -20x = 0 Add '-50' to each side of the equation. 50 + -50 + -20x = 0 + -50 Combine like terms: 50 + -50 = 0 0 + -20x = 0 + -50 -20x = 0 + -50 Combine like terms: 0 + -50 = -50 -20x = -50 Divide each side by '-20'. x = 2.5 Simplifying x = 2.5
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